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Vol. 59 (2007) REPORTS ON MATHEMATICAL PHYSICS No. 3 ON THE DYNAMICS CREATED BY A TIME-DEPENDENT
 

Summary: Vol. 59 (2007) REPORTS ON MATHEMATICAL PHYSICS No. 3
ON THE DYNAMICS CREATED BY A TIME-DEPENDENT
AHARONOV­BOHM FLUX
J. ASCH
CPT-CNRS, Luminy Case 907, F-13288 Marseille Cedex 9, France
(e-mail: asch@cpt.univ-mrs.fr)
and
P. STOV´I CEK
Faculty of Nuclear Science, Czech Technical University,
Trojanova 13, 120 00 Prague, Czech Republic
(e-mail: stovicek@kmalpha.fjfi.cvut.cz)
(Received September 18, 2006)
We study the dynamics of classical and quantum particles moving in a punctured plane
under the influence of a homogeneous magnetic field and driven by a time-dependent singular
flux tube through the hole.
Keywords: Aharonov­Bohm flux, time-dependent Hamiltonian, quantum Hall effect.
1. Introduction
The model under consideration was introduced by physicists in order to understand
the integer quantum all effect and much investigated by mathematical physicists
who introduced topological indices in order to explain the quantization of charge

  

Source: Asch, Joachim - Centre De Physique Theorique, Campus de Luminy, Case 907

 

Collections: Mathematics